@Khahan Unfortunately probability is rarely intuitive.

The mathematical proof:

We consider 3 type of card a, b, c and a deck with Na + Nb + Nc = 60 copies of each card.

The probably of having exactly A + B + C = 7 in a hand of 7 is given byP(A, B, C; 60) = comb(Na, A) * comb(Nb, B) * comb(Nc, C) / comb(60, 7)

By introducing comb(60 - Na, 7 - A) in the middle we obtain

P(A, B, C; 60) = [comb(Na, A) * comb(60 - Na, 7 - A) / comb(60, 7)] * [comb(Nb, B) * comb(Nc, C) / comb(60 - Na, 7 - A)]

We recognize the probability for 2 type of card and use C = 7 - A - B to obtain

P(A, B, 7 - A - B; 60) = P(A, 7 - A; 60) * P(B, 7 - A - B, 60 - A)

Wikipedia for more detail.

The interpretation is: For each new type of card you have to remove the all the copy of the previous type of card.

This is not easy, I had to redo the proof to convince myself there was an error in the spreadsheet.

@ChubbyRain Nice work.

I think there is a error in "Chance of Green card out of the remaining six cards", your results correspond to a population of 59 = (60 - 1 * Force) but it should be done with population of 56 = (60 - 4 * Force).

Everything else seems good for me.

@joshuabrooks I combined the list of edition of MTG Wiki with the data base of card of MTGJSON (used by Cockatrice), Un-set are excluded. I got a total of 18909 cards.

The number of set (with at least one new card) by year:

The number of new printing by year:

The year 2019 is ongoing so the number are incomplete.

There seem to have an increase in the number of new printing in the last few years.

They can play Spark Double so it is not completely absurd sarcasm. My bad.

@Shopsaholic It will be hard to hit four Karns with The Elderspell when there is only three versions of legendary Karn planewalkers.

The probme is that paying BB to destroy planewalkers when most of them cost 3 or 4 and have already use at least one of their abilities is a bit slow. And when they do not play planewalker, its a completely dead card.

The lack of good solution to Karn explain why he trusts the mtgo challenge top8 .

The solution is to play Karn first.

My point is, it is better to play null rod than Harsh mentor, and Karn than Haunting Wind.

@desolutionist said in [WAR] Karn the great creator:

Well the premise here is that people are likely to have a turn 1 Karn, turn 2 time vault lock.

So you can only deploy 1 mana ?

Force of will, Mental misstep on key, Pithing needle, Nature claim, Lighting bolt.

And soon Force of Negation and Force of Vigor.

@desolutionist If you have problem with your opponent activating artifact then just play null rod effect, like Karn.

@BlindTherapy If dreadbore was instant speed and cost R it would see play, but it is neither of the two.

Magmatic Sinkhole is the closest we have of that. But maybe not close enough to see play.